Approximate Solutions of Nonlinear Boundary Value Problems by ...

Approximate Solutions of Nonlinear Boundary Value Problems ...

Under additional assumptions analogous to those imposed by earlier writers, it is shown that there exists a solution y ( t , ε ) on [0, 1] such that the ...

On Approximate Solutions of Nonlinear Boundary-Value Problems ...

We propose a new iterative scheme for the determination of solutions to the weakly nonlinear boundary-value problem for a system of ordinary differential ...

Approximate Solutions of Non-linear Boundary-value Problems

Abstract. A method for obtaining approximate solutions of non-linear boundary value problems, based on a judicious application of the maximum principle, is.

Approximate Solutions of Nonlinear Boundary Value Problems ...

APPROXIMATE SOLUTIONS OF NONLINEAR BOUNDARY VALUE. PROBLEMS INVOLVING A SMALL PARAMETER*. K. W. CHANGt. Abstract. This paper treats the nonlinear boundary ...

Approximate Solutions of Nonlinear Boundary Value Problems by ...

These results show that the collocation method is a powerful and simple to apply method which can easily be adopted to other types of equations.

Approximate Solutions of Nonlinear Boundary Value Problems ...

APPROXIMATE SOLUTIONS OF NONLINEAR BOUNDARY VALUE. PROBLEMS INVOLVING A SMALL PARAMETER*. K. W. CHANGe". Atraet. This paper treats the nonlinear boundaryvalue ...

Approximate solution of a non-linear boundary value problem with a ...

Abstract. A numerical method, which has an estimate of the rate of convergence which is uniform with respect to a small parameter, is proposed for a non-linear ...

Approximate solutions of a nonlinear boundary value problem

Coddington, E. A., & N. ... Levinson, A boundary value problem for a non-linear differential equation with a small parameter. Proc. Amer. Math. Soc. 3, 73–81 ( ...

Approximate Solutions of Nonlinear Boundary Value Problems by ...

Discover this 2023 paper in Sakarya University Journal of Science (SAUJS) / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi by DURAK, Birkan; ÖZER, ...

Approximation of solutions for nonlinear periodic boundary value ...

We prove that it is possible to approximate the solutions of a nonlinear periodic boundary value problem via monotone sequences starting at piecewise ...

[PDF] On Approximate Solutions of Nonlinear Boundary-Value ...

We establish necessary and sufficient conditions for the solvability of the nonlinear boundary-value problem in the critical case and develop a scheme for ...

Approximate Solutions of Nonlinear Boundary Value Problems ...

Under additional assumptions analogous to those imposed by earlier writers, it is shown that there exists a solution $y(t,\varepsilon )$ on [0, ...

On the construction of approximate solutions to nonlinear boundary ...

Boundary value problems. Nonlinear theories. Numerical analysis. Publisher. McGill University. Language. English. Identifier.

Full article: On an approximate solution of a boundary value problem ...

The aim of this work is to discuss the solvability of a boundary value problem for a nonlinear integro-differential equation. First, we derive an equivalent ...

A new approach to approximate solutions for a class of nonlinear ...

... boundary value problems of nonlinear multi-term fractional differential equations and propose a new method to obtain their approximate solutions

Newton's Method Applied to Nonlinear Boundary Value Problems

However, the exact solution of these equations is not always possible, especially when the equation is nonlinear, which requires numerical ...

Approximate Series Solution of Nonlinear Singular Boundary Value ...

Unlike the classical ADM, the proposed method avoids solving a sequence of nonlinear algebraic or transcendental equations for the undetermined coefficients.

Novel Approximate Solutions for Nonlinear Initial and Boundary ...

Mahdi Salih, O. et al. 2023. Novel Approximate Solutions for Nonlinear Initial and Boundary Value Problems. Ibn AL-Haitham Journal For Pure and ...

Approximate Solutions to Boundary Value Problems of Higher Order ...

Recently, a comparison between Adomian decomposition method and Taylor series method has been carried out by Wazwaz [23] by using linear and nonlinear problems, ...

Approximate solution of nonlinear ODE - MathOverflow

with initial conditions y(0)=0 and y′(0)=ε where ε>0 is a small parameter and f(x) is a function for which we can analytically solve ...